UV Wrap seen through object [EEVEE]
sambler's reponse spured me on the mess around with things something, and i've managed to 'fake' the transparency I guess.

Firstly I changed the blend mode to Multiply with Show Backface ticked.



With this though, the artwork shown on the backside of the cup was at max brightness (for lack of better words) which isn't what I want, nor realistic.



So I duplicated my material, and applied to the back half of the back, and shoved a colorramp node inbetween the image texture and diffuse node with a mid-ish grey which muted the colour to be how it would look on a final product.



Here is my complete node setup in the hopes it helps anyone, it's a bit fiddly but it's doing the job.